414224020 has 96 divisors (see below), whose sum is σ = 1044223488. Its totient is φ = 134948352.

The previous prime is 414224003. The next prime is 414224039. The reversal of 414224020 is 20422414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634014 + ... + 634666.

It is an arithmetic number, because the mean of its divisors is an integer number (10877328).

Almost surely, 2^414224020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522111744).

414224020 is an abundant number, since it is smaller than the sum of its proper divisors (629999468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414224020 is a wasteful number, since it uses less digits than its factorization.

414224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 414224020 is about 20352.4941960439. The cubic root of 414224020 is about 745.4383978890.

Adding to 414224020 its reverse (20422414), we get a palindrome (434646434).

The spelling of 414224020 in words is "four hundred fourteen million, two hundred twenty-four thousand, twenty".